Search a number
-
+
120020111122110 = 235311794331665061
BaseRepresentation
bin11011010010100001011100…
…000101101101111010111110
3120201221210212220101220001220
4123102201130011231322332
5111212402141421401420
61103132251120014210
734165111144665213
oct3322413405557276
9521853786356056
10120020111122110
11352732748a0991
1211564850461366
1351c7b03b40624
14218d00bdddb0a
15dd1eea021840
hex6d285c16debe

120020111122110 has 128 divisors (see below), whose sum is σ = 299691978485760. Its totient is φ = 30728748902400.

The previous prime is 120020111122097. The next prime is 120020111122133. The reversal of 120020111122110 is 11221111020021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120020111122110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71248980 + ... + 72914040.

It is an arithmetic number, because the mean of its divisors is an integer number (2341343581920).

Almost surely, 2120020111122110 is an apocalyptic number.

120020111122110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120020111122110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149845989242880).

120020111122110 is an abundant number, since it is smaller than the sum of its proper divisors (179671867363650).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120020111122110 is a wasteful number, since it uses less digits than its factorization.

120020111122110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665714.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 120020111122110 its reverse (11221111020021), we get a palindrome (131241222142131).

The spelling of 120020111122110 in words is "one hundred twenty trillion, twenty billion, one hundred eleven million, one hundred twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 179 186 310 358 433 465 537 866 895 930 1074 1299 1790 2165 2598 2685 4330 5370 5549 6495 11098 12990 13423 16647 26846 27745 33294 40269 55490 67115 77507 80538 83235 134230 155014 166470 201345 232521 387535 402690 465042 775070 1162605 1665061 2325210 2402717 3330122 4805434 4995183 7208151 8325305 9990366 12013585 14416302 16650610 24027170 24975915 36040755 49951830 51616891 72081510 103233782 154850673 258084455 298045919 309701346 516168910 596091838 720971413 774253365 894137757 1441942826 1490229595 1548506730 1788275514 2162914239 2980459190 3604857065 4325828478 4470688785 7209714130 8941377570 9239423489 10814571195 18478846978 21629142390 22350113803 27718270467 44700227606 46197117445 55436540934 67050341409 92394234890 111750569015 129053882927 134100682818 138591352335 223501138030 258107765854 277182704670 335251707045 387161648781 645269414635 670503414090 774323297562 1290538829270 1935808243905 3871616487810 4000670370737 8001340741474 12002011112211 20003351853685 24004022224422 40006703707370 60010055561055 120020111122110